Finding the Third Proportional to 34,382 and 46,389

Step by Step Solution

1. Step 1: Write the proportion equation
   34,382 : 46,389 = 46,389 : x
2. Step 2: Convert to fraction form
   34,382/46,389 = 46,389/x
3. Step 3: Cross multiply
   34,382x = 46,389 × 46,389
4. Step 4: Simplify right side
   34,382x = 2,151,939,321
5. Step 5: Solve for x
   x = 2,151,939,321/34,382
6. Step 6: Final answer
   x = 62,589.13